Segment XY represents the path of an airplane that passes through the coordinates (2, 1) and (4, 5). What is the slope of a line that represents the path of another airplane that is traveling parallel to the first airplane?

Question

(1 point)
Responses

–2
–2

–one-half
– Image with alt text: one-half

one-half
Image with alt text: one-half

2

Answer 1

To determine the slope of the line passing through the points (2, 1) and (4, 5), we can use the slope formula:

slope (m) = (y2 - y1) / (x2 - x1)

Plugging in the values from the points given:

m = (5 - 1) / (4 - 2) = 4 / 2 = 2

So, the slope of the line representing the path of the first airplane is 2.

A line that is parallel to another line will have the same slope, so the slope of a line that represents the path of another airplane that is traveling parallel to the first airplane will also be 2.